Logs

I am going to show you all the process of solving problems that include logarithms. This process is quite simple if one knows how to look out for key components in the logarithms.

Notes:
• One thing to remember is if the base of the log isn't there then it is assumed that the base is 10.
• Another thing is logs can be written as exponents and vice versa for example loga=10, it is implied that log base 10 raised to the tenth power is a.

• For natural logs not having a base then it is assumed that the base is e.
• here's a shortcut: If b and x are equal, then they cancel out and the exponent left will be your answer

Ex 1: log (base 3) 81=x

• 3^x=81
• When solving for x you get 4 since 3^4 = 81
• Your final answer will be 4

-Sameer